JEE PYQ: Mathematical Reasoning Question 15
Question 15 - 2020 (04 Sep Shift 1)
Given the following two statements: $(S_1): (q \vee p) \to (p \leftrightarrow \sim q)$ is a tautology. $(S_2): \sim q \wedge (\sim p \leftrightarrow q)$ is a fallacy. Then:
(1) both $(S_1)$ and $(S_2)$ are correct
(2) only $(S_1)$ is correct
(3) only $(S_2)$ is correct
(4) both $(S_1)$ and $(S_2)$ are not correct
Type: MCQ
Show Answer
Answer: (4)
Solution
The truth table of both the statements shows $S_1$ is not tautology and $S_2$ is not fallacy. Hence, both the statements $(S_1)$ and $(S_2)$ are not correct.